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Finding the Fourth Proportional to 152.66, 210.57 and 109.02

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Solution

The fourth proportional to 152.66, 210.57 and 109.02 is: 150.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.66 : 210.57 = 109.02 : x
  2. Step 2: Convert to fraction form
    152.66/210.57 = 109.02/x
  3. Step 3: Cross multiply
    152.66x = 210.57 × 109.02
  4. Step 4: Simplify right side
    152.66x = 22,956.34
  5. Step 5: Solve for x
    x = 22,956.34/152.66
  6. Step 6: Final answer
    x = 150.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.